Adaptive mesh refinement for singular structures in incompressible hydro- and magnetohydrodynamic flows

被引：0
|
作者：
Grauer, R [1 ]
机构：
[1] Univ Dusseldorf, Inst Theoret Phys 1, D-40225 Dusseldorf, Germany
来源：
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL 1 | 1999年 / 129卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The question whether finite time singularities develop in incompressible hydro- and magnetohydrodynamic systems starting from smooth initial conditions is still an open problem. Here we present numerical simulations using the technique of adaptive mesh refinement which show evidence that in the 3D incompressible Euler equations a finite time blow-up in the vorticity occurs whereas in the 2D incompressible magnetohydrodynamic equations only exponential growth of vorticity and current density is observed.
引用
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页码：401 / 410
页数：10
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